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    Deciding FO-rewritability of ontology-mediated queries in linear temporal logic

    Ryzhikov, Vladislav and Savateev, Yury and Zakhariyashchev, Michael (2021) Deciding FO-rewritability of ontology-mediated queries in linear temporal logic. In: TIME 2021: 28th International Symposium on Temporal Representation and Reasoning, 27-29 September 2021, University of Klagenfurt, Austria (online).

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    Our concern is the problem of determining the data complexity of answering an ontology-mediated query (OMQ) given in linear temporal logic LTL over (Z,<) and deciding whether it is rewritable to an FO(<)-query, possibly with extra predicates. First, we observe that, in line with the circuit complexity and FO-definability of regular languages, OMQ answering in AC0, ACC0 and NC1 coincides with FO(<,\equiv)-rewritability using unary predicates x \equiv 0 mod n), FO(<,MOD)-rewritability, and FO(RPR)-rewritability using relational primitive recursion, respectively. We then show that deciding FO(<)-, \FO(<,\equiv)- and FO(<,MOD)-rewritability of LTL OMQs is ExpSpace-complete, and that these problems become PSpace-complete for OMQs with a linear Horn ontology and an atomic query, and also a positive query in the cases of FO(<)- and FO(<,\equiv)-rewritability. Further, we consider FO(<)-rewritability of OMQs with a binary-clause ontology and identify OMQ classes, for which deciding it is PSpace-, Pi_2^p- and coNP-complete.


    Item Type: Conference or Workshop Item (Paper)
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Vladislav Ryzhikov
    Date Deposited: 10 May 2022 15:01
    Last Modified: 09 Aug 2023 12:52


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